To solve the separable differential equation ૨૨ dy y² - 6 dx we must find two separate integrals: dy = help (formulas) and 10 dx help (formulas) = 1 2y The first integral we integrate by substitution: u = du = help (formulas) help (formulas) Solving for y we get one positive solution y = ☐ help (formulas) And one negative solution y = ☐ help (formulas) Note: You must simplify all arbitrary constants down to one constant k. Find the particular solution satisfying the initial condition y(1) = −5. y(x) = ☐ help (formulas) Book: Section 1.3 of Notes on Diffy Qs

dy/dx=x-4xy Solve using integrating factor and seperating the variables

Solve y′ + cos(x)y = cos(x).

Describe a first step in integrating dx. x2 - 6х + 34 Choose the correct answer below. O A. Use u-substitution with u = x2. O B. Factor the denominator. O C. Split the fraction into parts. O D. Complete the square on x - 6x + 34. O E. Use u-substitution with u =x2 - 6x + 34.